In a test, two people will have to answer 110 questions each. They score 3 points for each correct answer. The test has not ended yet. Each person has already answered 100 questions. Person F has answered 45% of the first 100 questions correctly. Person G has answered 50% of the first 100 questions correctly. What is the minimum number of points that Person F must get from the last 10 questions to win the test?
|
Person F |
Person G |
Current total score |
135 |
150 |
Additional score if the remaining questions are answered correctly |
+ 48 |
+ 30 |
Final total score |
183 |
180 |
|
Winner |
|
Score that Person F has earned so far
= 45% x 100 x 3
=
45100 x 100 x 3
= 135
Score that Person G has earned so far
= 50% x 100 x 3
=
50100 x 100 x 3
= 150
Remaining questions that each person has to answer
= 110 - 100
= 10
If Person G answers the last 10 questions correctly, the additional score that he will earn
= 10 x 3
= 30
Total score that Person G will earn after answering all the questions
= 150 + 30
= 180
Number of points that Person G is leading Person F by
= 180 - 135
= 45
For Person F to win the test, the number of points he has to earn
= 45 + 3
= 48
Answer(s): 48